How many cubic blocks of wood of side 20 cm can be cut from a block of...
Volume of block of wood= 2m*80cm*40cm
=200cm*80cm*40cm
=640000 cm3
Volume of cubic blocks = 20*20*20
= 8000cm3
therefore,
the number of cubic blocks that can be cut is = 640000 cm^3 /8000 cm^3 = 80
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How many cubic blocks of wood of side 20 cm can be cut from a block of...
Calculating the number of cubic blocks:
- First, we need to convert the dimensions of the block of wood into the same unit.
- The dimensions are 2m 28cm and 40cm which is equivalent to 228cm, 40cm, and 40cm.
Calculating the volume of the block:
- The volume of the block of wood can be calculated by multiplying its three dimensions (length, width, height) together.
- Therefore, the volume of the block is 228cm x 40cm x 40cm = 364,800 cubic cm.
Calculating the volume of one cubic block:
- The volume of one cubic block with side 20cm can be calculated by multiplying its three dimensions (20cm x 20cm x 20cm).
- Therefore, the volume of one cubic block is 20cm x 20cm x 20cm = 8,000 cubic cm.
Calculating the number of cubic blocks:
- To find out how many cubic blocks of wood can be cut from the block, we divide the volume of the block by the volume of one cubic block.
- Therefore, the number of cubic blocks = 364,800 cubic cm ÷ 8,000 cubic cm = 45.6 cubic blocks.
Final Answer:
- Since we cannot have a fraction of a cubic block, we can only cut 45 cubic blocks of wood with side 20cm from the given block of wood.
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